old exam2 solutions

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This is to identify the exam version you have - IMPORTANT
Mark the A
This is to identify the exam version you have - IMPORTANT
Mark the B
If the only forcesacting on a 2.0-kgmassare F, = (3i - 8j) N and F, = (5i + 3j) N, what is
the mamitude of the accelerationof the mass?
a.
n(5.
1.5 m/S-
*s) '' {'1 -i
=
iat=l'?
tn
A block is pushed up a frictionless30' incline by an applied force as shown. If f = 25 N
4.
and M = 3.0 kg, what is the magnitude of the resulting total acceleration [we have
vity, tool of the block?
^
H
l
5.
't1
\,
h
l
a.
.,.tfth1
,.;-7=,G
f
/,) rv/ s
b.
4.6m/s2
c.
J.5 m/ s-
q.
2.9 rn/ s2
e.
5.1 m/ S-
tr
3a
t.u 2d'
a
An astronaut [m = 81.6kg] lifts off from planet Zuton in a spaceship. The free-fall
acceleration
on Zuton is 3.0m/s2 (down).At the momentof liftoff the acceleration
of
the spaceship is 0.50m/gf{gn). \A4ratis the magnitude of the force of the spaceship on
the astronautl
I l-Crnct fdrp
b.
c,
d.
*.trt'Q
€:F
0.20kN
0.37kN
t"hJr^,*
I
h
Bzn o*
=h - 3 2 ,
al
,_(
a,
fz
b.
The horizontal surfaceon which the objectsslide is frictiorLless.If M = 1.0kg and the
magnitude of the force of the small block on the large block is 5.2 N, determine F.
: f Zv =74
a
1
-7
'IVrre
Z E 2n,W =
6.0N
b.
d.
e,
7.
c,
&
(znr te
CI
{ . s . 2 r/
4.8N
4.1N
Two bodies,A and B, collide as shown in Figuresa and b below.
t o t
. t u
a t u
(b)
(a)
Which statementis true?
a.
They exert equal and oppositeforceson eachother in (a) but not in (b).
They exert equal and opposite{orce on eachother in (b) but not in (a).
a,
They erert equaland oppositeforceon eachotherin both (a) and (b). 9i
I
d.
The forcesare equal and opposite to eachother in (a),but only the components
of the forcesparallel to the velocitiesare equal in (b).
e.
The forcesare equal and opposite in (a),but only the componentsof the forces
perpendicular to the velocitiesare equal in (b)
8.
Threeboxes slide on a frictionlesshorizontal surfacewhen pulled by a force of
magnitude F. When we cornparethe tensions I and T, with the force F, we find ihat
0
a.
b.
c,
!)
e,
'1- -',t'
-
E
Tt=F>Tz
F>Tr=Tr.
L>11>12.V
F
T1<71-T2.
9.
A roller-coastercar has a mass of 500kg when fully loaded with passengers.The car
passesover a hill of radius 15 m, as shown. At the top of the hi1l,the car has a speedof
.7
(
L&
a,
b.
c.
<_rykNrd)
5.6kN down
10.
{
"l
1
a.
b.
:N
o.
ever).wherethe same
at the top
at the bottom
l^o_f"r r_n_r' -l
t_i'ot th_t
"
;
.-L
tB'nt
7.0kN up
7.0kN down
2.8kN down
=ztgJt
\t€ zc" 1*'n
a'<--\'\
d.
na"(
td.a, t4ztlr
Fo =n^:6
t J
= ?2oo 0
[qztz^Lt3J,tu n,a,1
4n
11.
An objectmoving along the :r axis is actedupon by a force F, that varies with position
as shown. How much work is done bv this force as the obiectmoves from
c
x=2rr.tox=8rn?
r, (N)
{
?ol
= ! ( , g z ?-4D'.
=
L)=: fin, <r *
",....'-*'7L
x*/
(
30'tt
J
a.
b.
@
d.
e.
1,2.
q
-10 T
+10J
+30J
-30 J
+40 T
A 10-kgblock on a horizontal frictionlesssurfaceis attachedto a llght spring (force
constant= 1.2kN/m). The block is initially at rest at its equilibrium position when a
force (magnitude P) acting parallel to the surfaceis applied to the block, as shown.
When the block is 8.0cm from the equilibrium position, it has a speedof 0.80m/s.
How much work is done on the block by the force P as the block moves the 8.0 cm?
r(/et, l*ts
+p
a.
D.
d.
831
* Q
tQ
& ,i) = lj,"p
r
+Dp= 1 ' u l * 0
I
I
, I llro.
t
kx*
)
13.
E
Carts A and B have equal massesand travel equal distancesD on side-by-sidestraight
frlctionlesstracks while a constantforce F actson A and a constantforce 2F acts on B.
Both carts start fuom rest. The velocitiesvo and vu of the bodies at the end of distanceD
are related by
*>
ft:
a.
I
c.
tu = 1p .,ro.
E
-) v
'r{ v
-)
.-',1rr
*
>
2
rJ
2p
tr
1,4) *., /a
*r =j'+ r/r
vu=2vo,
d.
vA = 2vB.
1.4.
?
A champion athletecan produce one horsepower (746W) for a short period of time. If
a athletewere to bicycle [70-kg combined athlete+ bike] to the summit of a 500m high
mountain while expending power at this rate, she would reachJhe sumrnit in ho,rv
many seconds?
a.
1
P
d.
1000
35000
7
Ll+a6
a
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